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\(x\times\frac{3}{5}+x\times\frac{2}{7}=\frac{31}{70}\)
\(x\times\left(\frac{3}{5}+\frac{2}{7}\right)=\frac{31}{70}\)
\(x\times\frac{31}{35}=\frac{31}{70}\)
\(x=\frac{31}{70}:\frac{31}{35}\)
\(x=\frac{1}{2}\)
1/2 BAN NHA
TA LẤY X*(3/5+2/7)=31/70
X*31/35=31/70
X=31/70:31/35
X=1/2
\(3\times\left(\frac{x}{4}+\frac{x}{28}+\frac{x}{70}+\frac{x}{130}\right)=\frac{60}{13}\)
=> \(\frac{x}{4}+\frac{x}{28}+\frac{x}{70}+\frac{x}{130}=\frac{20}{13}\)
=> \(\frac{x}{1\cdot4}+\frac{x}{4\cdot7}+\frac{x}{7\cdot10}+\frac{x}{10\cdot13}=\frac{20}{13}\)
=> \(\frac{x}{3}\left(\frac{3}{1\cdot4}+\frac{3}{4\cdot7}+\frac{3}{7\cdot10}+\frac{3}{10\cdot13}\right)=\frac{20}{13}\)
=> \(\frac{x}{3}\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{10}-\frac{1}{13}\right)=\frac{20}{13}\)
=> \(\frac{x}{3}\left(1-\frac{1}{13}\right)=\frac{20}{13}\)
=> \(\frac{x}{3}\cdot\frac{12}{13}=\frac{20}{13}\)
=> \(\frac{x}{3}=\frac{20}{13}:\frac{12}{13}=\frac{20}{13}\cdot\frac{13}{12}=\frac{5}{3}\)
=> x = 5
\(3\cdot\left(\frac{x}{4}+\frac{x}{28}+\frac{x}{70}+\frac{x}{130}\right)=\frac{60}{13}\)
\(3\cdot\left(\frac{x}{1\cdot4}+\frac{x}{4\cdot7}+\frac{x}{7\cdot10}+\frac{x}{10\cdot13}\right)=\frac{60}{13}\)
\(3\left(x-3\right)\left(\frac{3}{1\cdot4}+\frac{3}{4\cdot7}+\frac{3}{7\cdot10}+\frac{3}{10\cdot13}\right)=\frac{60}{13}\)
\(\left(3x-9\right)\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}\right)=\frac{60}{13}\)
\(\left(3x-9\right)\left(1-\frac{1}{13}\right)=\frac{60}{13}\)
\(\left(3x-9\right)\cdot\frac{12}{13}=\frac{60}{13}\)
\(3x-9=\frac{\frac{60}{13}}{\frac{12}{13}}\)
\(3x-9=5\)
\(3x=5+9\)
\(3x=14\)
\(x=\frac{14}{3}\approx4,667\)
1/2 . 1/3 . 1/4 . 1/5 . 1/6 . ( x - 1,010 ) = 1/360 - 1/720
1/2 . 1/3 . 1/4 . 1/5 . 1/6 . ( x - 1,010) = 1/720
( x - 1,010 ) . 1/2 . 1/3 . 1/4 . 1/5 . 1/6 = 1/720
( x - 1,010 ) . 1/720 = 1/720
x - 1,010 = 1/720 : 1/720
x - 1,010 = 1
x = 1 + 1,010
x = 2,01
\(2-\left(\frac{37}{7}+x-3\right)x\frac{49}{11}=0\)
\(\left(\frac{37}{7}+x-3\right)x\frac{49}{11}=2\)
\(\frac{37}{7}+x-3=\frac{22}{49}\)
\(x=-\frac{90}{49}\)
\(2-\left(\frac{37}{7}+x-3\right)\cdot\frac{49}{11}=0\)
\(\left(\frac{37}{7}+x-3\right)\cdot\frac{49}{11}=0+2\)
\(\left(\frac{37}{7}+x-3\right)\cdot\frac{49}{11}=2\)
\(\frac{37}{7}+x-3=2:\frac{49}{11}\)
\(\frac{37}{7}+x-3=\frac{22}{49}\)
\(\frac{37}{7}+x=\frac{22}{49}+3\)
\(\frac{37}{7}+x=\frac{169}{49}\)
\(x=\frac{169}{49}-\frac{37}{7}\)
\(x=-\frac{90}{49}\)
a) X *(3,9 + 0,1) = 2,7
X *4 =27
X=27/4
X= 6,75
b)X * (3+5) = 9,84
X *8= 9,84
X=9,84/8
X= 1,23
a) PT \(\Leftrightarrow x=\dfrac{6}{0,12}=50\)
Vậy \(x=50\)
b) PT \(\Leftrightarrow x=4\cdot2,5=10\)
Vậy \(x=10\)
c) PT \(\Leftrightarrow x=\dfrac{5,6}{4}=1,4\)
Vậy \(x=1,4\)
d) \(\Leftrightarrow x=\dfrac{\dfrac{2}{5}}{0,1}=4\)
Vậy \(x=4\)
`x xx4/5 :2=6/7`
`x xx 4/5xx1/2=6/7`
`x xx2/5=6/7`
`x=6/7:2/5`
`x=6/7xx5/2`
`x=15/7`
b)
`6/5:x:5/4=10/15`
`6/5:x xx4/5=2/3`
`6/5:x=2/3:4/5`
`6/5:x=2/3xx5/4`
`6/5:x=5/6`
`x=6/5:5/6`
`x=6/5xx6/5`
`x=36/25`
a) x × 4/5 : 2 = 6/7
x × 4/5 = 6/7 × 2
x × 4/5 = 12/7
x = 12/7 : 4/5
x = 15/7
b) 6/5 : x : 5/4 = 10/15
6/5 : x : 5/4 = 2/3
6/5 : x = 2/3 × 5/4
6/5 : x = 5/6
x = 6/5 : 5/6
x = 36/25
Ta có \(7x+2x+x=70\) hay
\(7x+2x+1x=70\Leftrightarrow x\left(7+2+1\right)=70\)
\(\Leftrightarrow10x=70\Leftrightarrow x=7\)
P/s: Bài này biến đổi một chút là ra thừa số chung. Khi đó mọi việc trở nên dễ dàng =)
[7+2+1]*x=70
10*x=70
x=70:10
x=7